My PSP is turning off for no reason during gameplay!

my PSP turns off during gameplay!and the UMD door is loose a little and part of the Battary door sticks up do i need tape?its so young well i havent played it in a long while.Maybe the battery doorsticks up and the battary pack leans on it and cutting the power?also whenever i charge it and idont play my PSP the battery is wasted after i charge it and leave it alone days.and just now it was using power with the green light bt it was off!

woah i think i need to tape the back and i better get me a MGS case or decal so you cant see the tape!